ar X iv : m at h / 05 07 14 6 v 1 [ m at h . O A ] 7 J ul 2 00 5 EXACTNESS FROM PROPER ACTIONS

نویسندگان

  • J. BRODZKI
  • G. A. NIBLO
  • N. J. WRIGHT
چکیده

In this paper we show that if a discrete group G acts properly isometrically on a discrete space X for which the uniform Roe algebra C * u (X) is exact then G is an exact group. As a corollary, we note that if the action is cocompact then the following are equivalent: The space X has Yu's property A; C * u (X) is exact; C * u (X) is nuclear.

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تاریخ انتشار 2005